Optimal harvesting and stability of a predator-prey model for fish populations with schooling behavior.

IF 1.3 4区 生物学 Q3 BIOLOGY
Theory in Biosciences Pub Date : 2021-06-01 Epub Date: 2021-05-25 DOI:10.1007/s12064-021-00347-5
Mohamed El Mahdi Hacini, Djammel Hammoudi, Salih Djilali, Soufiane Bentout
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引用次数: 5

Abstract

In this paper, the schooling behavior of prey fish population in a predator-prey interaction is investigated. By taking an economical interest which can be elaborated by the presence of nonselective harvesting into consideration, we studied the dynamical behavior. The existence, positivity and boundedness of solution have been established. The analysis of the equilibrium states is presented by studying the local and the global stability. The possible types of local bifurcation that the system can undergoes are discussed. The effect of fishing effort on the evolution of the species is examined. Further, by using Pontryagin's maximum principle a proper management strategy has been used for avoiding the extinction of the considered species and maximizing the benefits. For the validation of the theoretical result, several of graphical representations have been used.

具有鱼群行为的捕食者-猎物模型的最优收获和稳定性。
本文研究了捕食鱼种群在捕食-食饵相互作用中的群居行为。考虑到非选择性收获的存在所带来的经济利益,我们研究了其动力学行为。得到了解的存在性、正性和有界性。通过研究系统的局部稳定性和全局稳定性,对系统的平衡状态进行了分析。讨论了系统可能出现的局部分岔类型。研究了捕捞力对该物种进化的影响。此外,通过使用庞特里亚金的最大原则,采用了适当的管理策略,以避免所考虑的物种灭绝并使利益最大化。为了验证理论结果,使用了几种图形表示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Theory in Biosciences
Theory in Biosciences 生物-生物学
CiteScore
2.70
自引率
9.10%
发文量
21
审稿时长
3 months
期刊介绍: Theory in Biosciences focuses on new concepts in theoretical biology. It also includes analytical and modelling approaches as well as philosophical and historical issues. Central topics are: Artificial Life; Bioinformatics with a focus on novel methods, phenomena, and interpretations; Bioinspired Modeling; Complexity, Robustness, and Resilience; Embodied Cognition; Evolutionary Biology; Evo-Devo; Game Theoretic Modeling; Genetics; History of Biology; Language Evolution; Mathematical Biology; Origin of Life; Philosophy of Biology; Population Biology; Systems Biology; Theoretical Ecology; Theoretical Molecular Biology; Theoretical Neuroscience & Cognition.
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